Small oscillations of non-dissipative Lagrangian systems

被引：0
|
作者：
Massa, Enrico [1 ]
Vignolo, Stefano [1 ]
机构：
[1] Univ Genoa, Sez Metodi & Modelli Matemat, DIME, Via Opera Pia 15, I-16145 Genoa, Italy
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 04期
关键词：
D O I：
10.1063/1.5049438
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The small oscillations of an arbitrary scleronomous system subject to time-independent nondissipative forces are discussed. The linearized equations of motion are solved by quadratures. As in the conservative case, the general integral is shown to consist of a superposition of harmonic oscillations. A complexification of the resolving algorithm is presented. Published under license by AIP Publishing,
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页数：8
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